342033232144032 has 192 divisors, whose sum is σ = 1172001984693120. Its totient is φ = 95673631334400.

The previous prime is 342033232143973. The next prime is 342033232144139. The reversal of 342033232144032 is 230441232330243.

342033232144032 is a `hidden beast` number, since 3 + 4 + 2 + 0 + 3 + 3 + 232 + 14 + 403 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1384043569 + ... + 1384290672.

It is an arithmetic number, because the mean of its divisors is an integer number (6104177003610).

Almost surely, 2^{342033232144032} is an apocalyptic number.

342033232144032 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

342033232144032 is an abundant number, since it is smaller than the sum of its proper divisors (829968752549088).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

342033232144032 is a wasteful number, since it uses less digits than its factorization.

342033232144032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2768334284 (or 2768334270 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 36.

Adding to 342033232144032 its reverse (230441232330243), we get a palindrome (572474464474275).

The spelling of 342033232144032 in words is "three hundred forty-two trillion, thirty-three billion, two hundred thirty-two million, one hundred forty-four thousand, thirty-two".